Answer: y=0
Step-by-step explanation:
Mid point of line segment joining (a,b) and (p,q) = [tex](\dfrac{a+p}{2},\dfrac{b+q}{2})[/tex]
Mid point of line segment joining the points (-1,3) and (5,-3) = [tex](\dfrac{-1+5}{2},\dfrac{3-3}{2})[/tex]
[tex]=(\dfrac42,\dfrac02)\\= (2,0)[/tex]
Equation of line passing through (a,b) and (c,d) is given by :-
[tex](y-b)=\dfrac{d-b}{c-a}(x-a)[/tex]
Equation of line passing through (2,0) and (0,0) will be:
[tex](y-0)=\dfrac{0-0}{2-0}(x-0)\\\\\\ y=0[/tex]
A triangle has side lengths of 23 in, 32 in, and 54 in. Classify it as acute, obtuse, or right.
Answer:
Acute
Step-by-step explanation:
Solve the following equation for x.
10x – 18 = 32
Evaluate the function h(t)= t2 - 8t+12 at t=0. Then plot the point on the graph.
Answer: boi
Step-by-step explanation:
Help me plsss!!!!!!
Answer:choice b
Step-by-step explanation:
Question 5
Which statement is true about figure DEF?
DEF is a scalene triangle.
ya
4
E
DEEF
2
D
-8
-6
0
2
-2
DF DE
E
DF = EF
The correct equation for the triangle is,
⇒ DF ≅ FD
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
By the figure, the coordinate of triangles are,
D = (- 5, 1)
E = (- 2, 3)
F = (- 3, - 2)
Hence, By using distance formula;
DE = √ (- 5 + 2)² + (1 - 3)²
= √9 + 4
= √13
EF = √ (- 2 + 3)² + (3 + 2)²
= √1 + 25
= √26
FD = √ (- 5 + 3)² + (1 + 2)²
= √4 + 9
= √13
Thus, We have;
⇒ DF ≅ FD
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Ashleigh wants to double her money. She put $5,000 in a bank account that pays 4% compounded continuously. How long will it take her to double her money? (Round to
Answer:
approximately 17.3 years
Step-by-step explanation:
Compound interest is the interest we earned on the interest.
The formula for the amount earned with compound interest after n years is given as:
A = P [tex](1 + r/n)^{nt}[/tex]
The formula used to find continuously compounded is:
t = log (A/P) / r
The time it will take to double her money is 17.329 years.
What is compound interest?It is the interest we earned on the interest.
The formula for the amount earned with compound interest after n years is given as:
A = P [tex](1 + r/n)^{nt}[/tex]
P = principal
R = rate
t = time in years
n = number of times compounded in a year.
We have,
P = $5,000
r = 4%
Amount = 2 x 5000 = $10,000
n = infinite number of times.
Now,
Solve the equation for t
The formula used to find for continuously compounded is:
t = log (A/P) / r
t = log (10,000.00/5,000.00) / 0.04
t = 17.329 years
Thus,
The time it will take to double her money is 17.329 years.
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Which net represents this solid figure?
Answer:
The 3rd one
Step-by-step explanation:
Answer:
The second net.
Step-by-step explanation:
use the distance formula to find the distance between these two points (-8,-2) and (6,-1)
Pls help me with my work ( ◠‿◠ )
Answer:
yes you may use the answer will be 100% correct
Help me plsssssss!!!!!!!
Answer:
hello pero no hablo inglés ._.
Question 8
Ramon solves a linear equation. One of the steps in his work is 53 = 477
Which of these describes the solution to the equation that Ramon solves?
A
The equation has no solution
The equation has a solution of = =9
С
The equation has a solution of c = 424
D
The equation has infinitely many solutions,
Answer:
If Step is 53 = 477 then no solution exist
If Step is 53 x = 477 then there exist a unique solution x = 9
Step-by-step explanation:
Given - Ramon solves a linear equation. One of the steps in his work is
53 = 477
To find - Which of these describes the solution to the equation that Ramon
solves?
Proof -
As given, One of the steps in his work is 53 = 477
There are 2 cases possible -
Case I:
If his step is 53 = 477
Then, the equation has no solution because 53 ≠ 477
Case I:
If his step is 53 x = 477
Then, the equation has a solution because x = [tex]\frac{477}{53}[/tex] = 9
⇒The equation has a solution of x = 9.
AC=1
Round your answer to the nearest hundredth.
B
6
70
А
?
С
Answer: 2.18
Step-by-step explanation:
Angle B= 180- (Angle A + Angle C)
= 180- (70+90)
= 180-160=20
((sin A)/BC)=((sin B)/AC)
((sin 70)/6)=((sin 20)/AC)
(0.9/6)=(0.3/AC)
AC= (6*0.3)/0.9
AC= 2.18
An angle measures 106.4° less than the measure of its supplementary angle. What is the measure of each angle
Answer:
The two supplementary angles are 10 and 170 degrees.
Step-by-step explanation:
Two angles are supplementary when that add up to 180 degrees. In this case, we are given that one of the two angles is 160 degrees more than the other. We can construct the following equation. x + ( x + 160 ) = 180 x
represents the degree measure of the smaller angle. Now, all we need to do is solve the equation for x. 2 x + 160 = 180 2 x = 20 x = 10
Now that we have the value of the smaller angle, we can easily solve for the larger angle. We are told that it is 160 degrees larger than the other one.
10 + 160 = 170. Therefore, the two supplementary angles are 10 and 170 degrees.
which number is halfway between 318970 and 719070
Answer:
it is 519020
Step-by-step explanation:
Find the unknown length x in the right triangle, to the nearest tenth .
Answer:
x = 11.7
Step-by-step explanation:
sin of an angle is opposite/hypotenuse
sin 38 = x/19
x = 19 sin 38
x = 11.7
You need to memorize the definitions of all the trig functions and then this type of problem will be easy for you.
The area of the parallelogram below is 75 cm? What is the
length of b?
Answer:
The answer is 15
Step-by-step explanation:
See, if you divide 75 by 5 you get 15.
HOPE THIS HELPED!!
5x - 7 < 3(x - 3) whats the answer to this?
Answer:
X< - 1
Step-by-step explanation:
which expressions are equivalent to 2 to the 6th power choose all that apply. please help
Answer:
2 * 2 * 2 * 2 * 2 * 2
4 * 16
8 * 8
Step-by-step explanation:
Power is the result of multiplying two numbers together. The correct option is 2×2×2×2×2×2, 4×16, and 8×8.
What is power?Power is the result of multiplying two numbers together. Power is typically expressed by a base number and an exponent. The base number indicates the number being multiplied. The exponent, which is a little number printed above and to the right of the base number, indicates the number of times the base number is multiplied.
The given expression can be written as,
2⁶ = 2 × 2 × 2 × 2 × 2 × 2
= 4 × 16
= 8 × 8
Hence, the correct option are 2×2×2×2×2×2, 4×16, and 8×8.
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awnser with explanination no fake awnsers or reported
Answer:
D,
okie dokie yoo
Sarah has some chocolates.
24 are white chocolate.
16 are milk chocolate.
8 are dark chocolate.
(a) Write down the ratio of white chocolate to milk chocolate to dark chocolate.
Give your ratio in its simplest form.
Answer:
3:2:1
Step-by-step explanation:
24 divided by 8 is 3, 16 divided by 8 is 2, 8 divided by 8 is 1.
Sajid wants to bake cupcakes and muffins. He wants to bake a total of at least 16 cupcakes and muffins
(condition A), and he has 9000 grams of sugar (condition B).
ni
The graph represents the constraints on the number of cupcakes C and muffins M Sajid bakes.
M
20
18
16-
А
14-
12
10
8-
6+
B
41
2+
С
2
4 6
8
10 12 14
18 20
Sajid bakes 3 cupcakes. How many muffins can he bake to meet both his constraints?
Answer:
At least 13 muffins and at most 16 muffins
Express the product of (2x+5/2) and (x-1) as a trinomial in simplest form
Answer:
[tex]\displaystyle 2x^2 + \frac{x}{2} - \frac{5}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsExpand by FOIL (First Outside Inside Last)Step-by-step explanation:
Step 1: Define
[tex]\displaystyle (2x + \frac{5}{2})(x - 1)[/tex]
Step 2: Expand
[Trinomial] FOIL: [tex]\displaystyle 2x^2 - 2x + \frac{5}{2}x - \frac{5}{2}[/tex][Trinomial] Combine like terms: [tex]\displaystyle 2x^2 + \frac{x}{2} - \frac{5}{2}[/tex]Consecutive numbers follow one right after the other. An example of three consecutive numbers is 17, 18, and 19. Another example is -100, -99, -98. How many sets of two or more consecutive positive integers can be added to obtain a sum of 100? What are they?
help pls
The solution is 32 1/3 , 33 1/3 and 34 1/3
The three consecutive numbers which have a sum of 100 is given by the equation A = 32 1/3 + 33 1/3 + 34 1/3
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the first number be = n
Let the second number be = n + 1
Let the third number be = n + 2
So , the sum of all the three consecutive numbers is 100
Substituting the values in the equation , we get
n + ( n + 1 ) + ( n + 2 ) = 100 be equation (1)
On simplifying the equation , we get
3n + 3 = 100
Subtracting 3 on both sides of the equation , we get
3n = 97
Divide by 3 on both sides of the equation , we get
n = 32 1/3
So , the first number n = 32 1/3
Second number = n + 1 = 33 1/3
Third number = n + 2 = 34 1/3
Therefore , A = 32 1/3 + 33 1/3 + 34 1/3 = 100
Hence , The three consecutive numbers which have a sum of 100 is given by the equation A = 32 1/3 + 33 1/3 + 34 1/3
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PLEASEEE HELPPP MEE
Step-by-step explanation:
Its the number two. 903 in to the power of 3
Can someone help?
Find the measures of angles ACD, ACB, DAC, BAC
Step-by-step explanation:
ACD=ACB
DAC=BAC
2x=3x-29
x=29°
2x= 58°
ACD= 58°
ACB= 58°
DAC= 180-90-58= 32°
BAC= 32°
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A triangle has an area of 36 square meters. What could its base and height be?
b = 12 m, h = 6 m
b = 9 m, h = 4 m
b = 9 m, h = 9 m
b = 8 m, h = 9 m
Answer:
b = 12 m, h = 6 m
Step-by-step explanation:
A=1/2bh
36=1/2bh
Plug in the first values
36=1/2(12)(6)
36=6*6
36=36
Choose the inequality that represents the following graph.
Answer:
D: x ≥ -2
Step-by-step explanation:
The arrow points to the right on the number line, meaning the inequality uses the greater than sign.
The solid point at -2 means that -2 is included in the solution for x.
So, the final inequality is x ≥ -2.
What is the value of n^-4 w^0 for n=-2 and w=5?
Answer:
1/16
Step-by-step explanation:
-2^-4 = 1/(-2)^4
5^0 = 1
1/(-2)^4 = 1/16
PLEASE HELP URGENTT
Lamar goes shopping for a new flat-panel television. A television is usually described by the length of the
screen’s diagonal. He finds a great deal on a 42-inch display model.
a. If the screen’s height is 21 inches, what is the width of the screen?
b. The border around the screen is 2 inches. What are the dimensions of the television, including
the border?
Answer:
Step-by-step explanation:
d^2=h^2+w^2
a)
w^2=42^2-h^2, h=21
w^2=1764-441
w^2=1323
w=36.373
b)
36.373+2(2) by 21+2(2)
w=40.373, h=25
